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Simplifying x3 = 15x2 + 34x Reorder the terms: x3 = 34x + 15x2 Solving x3 = 34x + 15x2 Solving for variable 'x'. Reorder the terms: -34x + -15x2 + x3 = 34x + 15x2 + -34x + -15x2 Reorder the terms: -34x + -15x2 + x3 = 34x + -34x + 15x2 + -15x2 Combine like terms: 34x + -34x = 0 -34x + -15x2 + x3 = 0 + 15x2 + -15x2 -34x + -15x2 + x3 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -34x + -15x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-34 + -15x + x2) = 0 Factor a trinomial. x((-2 + -1x)(17 + -1x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 3
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {0, -2, 17}
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